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What is the Least Common Multiple of 16162 and 16175?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16162 and 16175 is 261420350.

LCM(16162,16175) = 261420350

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Least Common Multiple of 16162 and 16175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16162 and 16175, than apply into the LCM equation.

GCF(16162,16175) = 1
LCM(16162,16175) = ( 16162 × 16175) / 1
LCM(16162,16175) = 261420350 / 1
LCM(16162,16175) = 261420350

Least Common Multiple (LCM) of 16162 and 16175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16162 and 16175. First we will calculate the prime factors of 16162 and 16175.

Prime Factorization of 16162

Prime factors of 16162 are 2, 8081. Prime factorization of 16162 in exponential form is:

16162 = 21 × 80811

Prime Factorization of 16175

Prime factors of 16175 are 5, 647. Prime factorization of 16175 in exponential form is:

16175 = 52 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 16162 and 16175.

LCM(16162,16175) = 21 × 80811 × 52 × 6471
LCM(16162,16175) = 261420350